2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/81737By introducing Q^2-dependence in resonance-reggeon "soft" dual models with nonlinear trajectories, they are extended to "hard" processes, sharing the property of parton-hadron duality. The resulting object is a two-component complex function of three variables - s,t and Q^2, reducing to classical dual models on the mass shell and to deep inelastic structure functions, or Compton scattering amplitudes - forward and non-forward - otherwise. As a consequence, the small- and large-x behavior of the structure functions is also related by duality. This duality relation holds for each o components (diffractive and non-diffractive for the amplitude or singlet and non-singlet for the structure) separately.Lecture delivered at the 6th International Summer School-Seminar On Actual Problems Of High Energy Physics, Gomel, Belarus, August 7-16, 2001. 21 pages, 9 figuresNuclear Theorytext